Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 79 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11927310 | C2 | semidirect |
| 3. #11926526 | C2 | semidirect |
| 4. C2×#10597290 | C2 | semidirect |
| 5. #11926316 | C2 | semidirect |
| 6. #11926315 | C2 | semidirect |
| 7. C2×C19×#100 | C2 | semidirect |
| 46. M16×C19 | D4 | semidirect |
| 56. #64520 | D4 | semidirect |
| 113. C2×#100 | D19 | semidirect |
| 140. C19 | #1914 | semidirect |
| 166. M16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927310 | 2 |
| #11927111 | 2 |
| #11926526 | 2 |
| C2×#10597290 | 2 |
| #11926316 | 2 |
| #11926315 | 2 |
| C2×C19×#100 | 2 |
| #1914 | 19 |